Causal Emergence of Relativistic Invariance and Multi-Rate Relaxation from a Minimal Discrete Grammar
Publication princeps — Théorie fondamentale de causalité discrète (ΔTrue → ΔO → ΔG), invariance relativiste par coupe et validation sur 444 806 mesures physiques réelles.
Résumé / Abstract
We present a constructive derivation of relativistic invariance, kinematic time dilation, and multi-rate dissipative relaxation emerging from an austere discrete causality grammar: \(\Delta\text{True} \to \Delta\text{O} \to \Delta\text{G}\). The speed of light \(c\) emerges naturally as the strict topological constraint that the causal graph \(G\) can advance at most one cut per elementary act. Time dilation is shown to be act-budget depletion along spatial displacement paths. When evaluated against 444,806 experimental points—including quantum optomechanics resonators (Nature 2024) and nonlinear electro-mechanical benchmarks—the derived opponent-coupled multi-rate relaxation matches physical observation down to \(10^{-6}\) nats without free parameters.
Archive autonome et scellée contenant le moteur formel (engine.py), les benchmarks physiques bruts (444 806 points de mesure réels) et le script de vérification en un clic (reproduce_all.py).
@article{cloutier2026causalemergence,
author = {Cloutier, Lo{\"i}c},
title = {Causal Emergence of Relativistic Invariance and Multi-Rate Relaxation from a Minimal Discrete Grammar},
year = {2026},
journal = {Leandark Research Repository},
doi = {10.5281/zenodo.23347097},
note = {Independent Researcher, Leandark (Qu{\'e}bec, Canada). Replication archive SHA-256: ad5256da54ef110a0a83fc849db0a9d56b778a66d88edee28a1935a3a80eaea9},
url = {https://doi.org/10.5281/zenodo.23347097}
}